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Theater Club: Compare the Production Models

Compare theater production functions shown in graphs, tables, equations, and words, including costs, seat sales, and changing rates.

Grade 8MathInteractive · Printable

Aligned to8.F.A.2

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students compare rates of change and initial values across different function representations.
Students compare function outputs and inputs to make decisions about costs and seat sales.
Students distinguish constant and changing rates when comparing two functions.

How to use

Use after students have studied slope and initial value. Have students annotate rates and starting values before comparing the models, then discuss the final explanation.

Curriculum

Common Core standard covered

8.F.A.2

Compare properties of two functions shown in different ways, such as an equation, a graph, a table, or words.

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Theater Club: Compare the Production Models

Compare functions to make production decisions.

Building the Set

Compare each pair of functions. All cost models in this section are linear.

The theater club compares two suppliers of frame kits. For each supplier, x is the number of kits ordered and y is the total cost in dollars, including delivery. Stagewood's graph is shown below. FrameWorks uses y = x + 10. Both models apply to whole-number orders from 0 through 8 kits.